Question

If two positive integers p and q can be expressed as p = 18 a²b⁴ and q = 20 a³b², where a and b are prime numbers, then LCM (p, q) is ______.

Options

• 2 a²b²

• 180 a²b²

• 12 a²b²

• 180 a³b⁴

Answer 1

If two positive integers p and q can be expressed as p = 18 a²b⁴ and q = 20 a³b², where a and b are prime numbers, then LCM (p, q) is 180 a³b⁴.

Explanation:

Given,

p = 18 a²b⁴ and

q = 20 a³b²

LCM (p, q) = LCM (18 a²b², 20 a³b²)

= 180 a³b⁴